Question

Use properties of shapes and angles to find the missing measures.

Answer 1

Answer:

< 1 = 130°, < 2 =50°, < 3 = 50°, < 4= 30°, < 5 = 70°, < 6 = 50°, < 7= 60°, < 8 = 40°, < 9 = 40°, < 10 = 50°,  < 11 = 50°, < 12 = 130°, < 13 = 140°, < 14 =40° , < 15 = 140°

Step-by-step explanation:

< 4 = 90- 60 = 30° because angle 4 and angle 60° are complementary

< 5 = 70°, because vertical angles are congruent

< 2 = 180-130 = 50 °, because 130 ° and 2 are a linear pair

< 6 = 180-130 = 50 °, because 130 ° and 2 are a linear pair

because < 2 = < 6 and are alternate exterior angles then two lines are parallel

<13 = 140°,  corresponding  angles

< 13 = < 15 = 140°, vertical angles

< 8 = < 9 = < 14 = 180-140 = 40°, linear pair and vertical angles

< 3 = 180-90-40= 50 °, because the sum off all angles in a Δ is 180°

< 3= < 10 = < 11 =50° vertical angles , and corresponding angles

< 7= 180 -70 -50 = 60°, because the sum off all angles in a Δ is 180°

<1 = <12 = 180 -50 = 130°, linear pair and vertical angles